Question

At the beginning of a month, a factory has enough materials to make 240 tonnes of steel in a month. If 60 more tones of steel are to be made in that month, how long will
the materials last?​

Answer 1

Answer:

The material will be used for 24 days.

Step-by-step explanation:

Given that:

Materials made in a month = 240 tonnes

More materials to be made = 60 tonnes

Total material to be made = 240+60 = 300 tonnes

Days in a month = 30 days

Materials : Days

240 : 30

300 : x

As the production is increasing, the material will be used before 30 days.

This is an inverse proportion.

$\frac{240}{300}=\frac{x}{30}$

Using cross multiplication;

300*x = 240*30

300x = 7200

Dividing both sides by 300

$\frac{300x}{300}=\frac{7200}{300}\\x=24$

Hence,

The material will be used for 24 days.